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Finding the Third Proportional to 27,314.44 and 42,919.31

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Solution

The third proportional to 27,314.44 and 42,919.31 is: 67,439.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,314.44 : 42,919.31 = 42,919.31 : x
  2. Step 2: Convert to fraction form
    27,314.44/42,919.31 = 42,919.31/x
  3. Step 3: Cross multiply
    27,314.44x = 42,919.31 × 42,919.31
  4. Step 4: Simplify right side
    27,314.44x = 1,842,067,385.47
  5. Step 5: Solve for x
    x = 1,842,067,385.47/27,314.44
  6. Step 6: Final answer
    x = 67,439.33

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.